How do I integrate sinx.cos3x

Imunable to reach the final answer: 3/2cos^2(x) - cos^4(x) + C

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- Sep 25th 2009, 05:10 PMDeRSeDStuck on simple integration by parts
How do I integrate sinx.cos3x

Imunable to reach the final answer: 3/2cos^2(x) - cos^4(x) + C - Sep 25th 2009, 05:57 PMmr fantastic
Wolfram|Alpha

Be sure to click on Show Steps. (And you'll need to show that the two answers are equivalent).

If you have to use integration by parts (and it has to be used twice), please show all your working and say where you get stuck.